"Bosonization"의 두 판 사이의 차이
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| 1번째 줄: | 1번째 줄: | ||
<h5>introduction</h5> | <h5>introduction</h5> | ||
| − | + | * Bosonization is a nonperturbative method. The Tomonaga-Luttinger (TL) model, a continuum theory of interacting fermions, can be translated into a theory of noninteracting bosons and solved exactly | |
| − | + | * Bosonization is a method for translating a fermionic theory into a bosonic theory, and eventually retranslating part of the latter into a new fermionic language (cf. the Luther-Emery model or the use of Majorana fermions). This translation process is exact in the continuum limit, but does not warrant an exact solution of the model, except in a few exceptional cases (e.g. the TL model). For the rest, one must rely on renormalization-group analyses, which generally complement bosonization. | |
| 30번째 줄: | 30번째 줄: | ||
<h5>Tomonaga-Luttinger model</h5> | <h5>Tomonaga-Luttinger model</h5> | ||
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| + | <h5>CFT and bosonization</h5> | ||
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| + | The intimate relation between CFT and the conventional bosonization had became manifest when Dotsenko and Fateev represented the CFT correlation functions in terms of correlators of bosonic exponents (1984). | ||
| 65번째 줄: | 73번째 줄: | ||
* Bosonization and Strongly Correlated Systems | * Bosonization and Strongly Correlated Systems | ||
| + | * http://www.worldscibooks.com/physics/2436.html | ||
* [[2011년 books and articles]] | * [[2011년 books and articles]] | ||
* http://library.nu/search?q= | * http://library.nu/search?q= | ||
2011년 6월 24일 (금) 08:45 판
introduction
- Bosonization is a nonperturbative method. The Tomonaga-Luttinger (TL) model, a continuum theory of interacting fermions, can be translated into a theory of noninteracting bosons and solved exactly
- Bosonization is a method for translating a fermionic theory into a bosonic theory, and eventually retranslating part of the latter into a new fermionic language (cf. the Luther-Emery model or the use of Majorana fermions). This translation process is exact in the continuum limit, but does not warrant an exact solution of the model, except in a few exceptional cases (e.g. the TL model). For the rest, one must rely on renormalization-group analyses, which generally complement bosonization.
http://www.thphys.uni-heidelberg.de/~komnik/ws1011.html
Tomonaga-Luttinger model
CFT and bosonization
The intimate relation between CFT and the conventional bosonization had became manifest when Dotsenko and Fateev represented the CFT correlation functions in terms of correlators of bosonic exponents (1984).
history
encyclopedia
- http://en.wikipedia.org/wiki/Bosonization
- http://www.scholarpedia.org/
- http://eom.springer.de
- http://www.proofwiki.org/wiki/
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)
books
- Bosonization and Strongly Correlated Systems
- http://www.worldscibooks.com/physics/2436.html
- 2011년 books and articles
- http://library.nu/search?q=
- http://library.nu/search?q=
expositions
- http://www.scielo.br/scielo.php?script=sci_arttext&pid=s0103-97332003000100002
- http://arxiv.org/abs/cond-mat/9805275
- [2]http://front.math.ucdavis.edu/9908.0262
- [3]http://front.math.ucdavis.edu/0005.0492
articles
- http://www.ams.org/mathscinet
- http://www.zentralblatt-math.org/zmath/en/
- http://arxiv.org/
- http://www.pdf-search.org/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html
- http://dx.doi.org/
question and answers(Math Overflow)
- http://mathoverflow.net/search?q=
- http://math.stackexchange.com/search?q=
- http://physics.stackexchange.com/search?q=
blogs
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- http://ncatlab.org/nlab/show/HomePage
experts on the field